If I remember correctly, the Stoeger Cougar is a traditional-double-action (TDA) pistol, which means that the user has to transition from a double-action (DA) first shot to single-action (SA) subsequent shots.
Shooting a pistol is difficult enough. In my mind, it makes no sense to complicate an already-difficult learning curve with such a confusing transition. I suggest that using a pistol with a single, consistent trigger action is a much better choice.

The 1911 is a single-action (SA) semi-auto, and every shot is fired in exactly the same manner. However, when using a SA semi-auto, strict attention must be paid to the gun's safety lever. This is particularly true since the SA pistol is carried loaded, cocked, and on safe.
Learning to use a SA semi-auto is the easiest of all of the options available to the pistol shooter, even including the safety lever and its manipulation.

There is one more option worth considering: The double-action-only (DAO) pistol. In this case, every shot is fired in the same way, but each trigger press is long and somewhat hard. This trigger action replaces the safety lever, giving the learner one fewer thing to think about.
Although it is not strictly a DAO pistol, a good example of this type is Glock's "safe action." In this type of gun, the trigger pull is neither particularly long, nor particularly hard. Other, true DAO pistols are somewhat more difficult to master.
You might add the Glock, the Springfield, and the S&W (as well as others) to your list of pistols to consider.

I agree with Steve, very knowledgeable, but it's like comparing apples to pears. Both great pistols, i personally prefer a good DA/SA for HD and CCW, like the Stoeger as opposed to the SA of the 1911, and i like night sites too! Just a personnel preference.

Ruger 1911 seems to be very highly regarded. Difficult to find (at least around here). If you are looking for a pistol to mostly punch holes in paper -- pick the Ruger.

1911 is an easy pistol to shoot. Accurate. Fun.

If it's to carry -- AND, you are really going to carry on a daily basis (not just THINK you're going to carry) - then it would make sense to test them both out (if you can) -- also, look at other pistols.

In other words - read what the other folks have written - take it to heart.